| 不确定多重状态时滞离散系统的LMI鲁棒稳定条件 |
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| 引用本文： | 张彦虎,颜文俊,赵光宙.不确定多重状态时滞离散系统的LMI鲁棒稳定条件[J].信息与控制,2007,36(1):1-5. |
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| 作者姓名： | 张彦虎 颜文俊 赵光宙 |
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| 作者单位： | 浙江大学系统科学与工程系,浙江,杭州,310027 |
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| 摘 要： | 研究了具有多重状态时滞的凸多面体不确定离散系统的鲁棒稳定性分析问题．基于参数依赖的李亚普诺夫稳定性和线性矩阵不等式推导出使得时滞鲁棒稳定系统鲁棒稳定的充分条件．应用此条件，通过测试一组线性矩阵不等式的可解性即可达到判定系统的鲁棒稳定性的目的．因为使用了参数依赖的李亚普诺夫稳定性思想，此鲁棒稳定条件比基于二次稳定概念的稳定条件的保守性更小．算例验证了结果．
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| 关 键 词： | 多重状态时滞 不确定离散系统 线性矩阵不等式 参数依赖的李亚普诺夫函数 鲁棒稳定 |
| 文章编号： | 1002-0411（2007）01-0001-05 |
| 修稿时间： | 2005-09-29 |
An LMI Robust Stability Condition for Uncertain Discrete-time Systems with Multiple-state Delays |
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| ZHANG Yan-hu,YAN Wen-jun,ZHAO Guang-zhou.An LMI Robust Stability Condition for Uncertain Discrete-time Systems with Multiple-state Delays[J].Information and Control,2007,36(1):1-5. |
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| Authors: | ZHANG Yan-hu YAN Wen-jun ZHAO Guang-zhou |
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| Affiliation: | Department of System Science and Engineering, Zhefiang University, Hangzhou 310027, China |
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| Abstract: | The problem of robust stability analysis for convex polytopic uncertain discrete-time systems with multiple-state delays is investigated.Based on the parameter-dependent Lyapunov stability and linear matrix inequality,the sufficient condition for robust stability is derived to enable the systems with delays to be robustly stable.With this condition,robust stability verification for the systems can be accomplished by testing the feasibility of a set of linear matrix inequalities.Due to the idea of parameter-dependent Lyapunov stability,the obtained robust stability condition has less conservativeness than the one based on quadratic stability.Numerical examples validate the results. |
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| Keywords: | multiple-state delay uncertain discrete-time system linear matrix inequality parameter-dependent Lyapunov function robust stability |
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